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In the "Self Interview" on the DVD of the concert film Stop Making Sense, Byrne states that it is a love song, a topic he tends to avoid because it is "kinda big." He also said of the song:[3]

That's a love song made up almost completely of non sequiturs, phrases that may have a strong emotional resonance but don't have any narrative qualities. It's a real honest kind of love song. I don't think I've ever done a real love song before. Mine always had a sort of reservation, or a twist. I tried to write one that wasn't corny, that didn't sound stupid or lame the way many do. I think I succeeded; I was pretty happy with that.

According to the Stop Making Sense commentary track, the title "Naive Melody" refers to the music. On the track, the guitar part and the bass part are doing the same thing throughout the whole song. According to David Byrne, many professional musicians would not play a song written in that fashion, and that is what makes the melody naive. Byrne played the lead keyboard solo.[citation needed]

Pitchfork later described the song as "an aberration for the Talking Heads. It was more of an exercise in understated musical hypnosis than polyrhythmic, Kuti-quoting funk, well-compressed instead of bursting at the seams, and (in its abashed way) it was a full-blown love song. [..] With "This Must Be the Place", the band simplified their sound dramatically, condensing their sonic palette to the level of small EKG blips (having switched instruments for a lark, this was nearly all they were able to reliably deliver chops-wise) and wringing out only a few chords."[4]

The song is featured in Stop Making Sense (1984), a concert film featuring Talking Heads and directed by Jonathan Demme. Throughout the Stop Making Sense version, Byrne and his bandmates perform by a standard lamp, while close-up images of various body parts are projected onto a screen behind them. As revealed on the commentary to the film, the body parts belong to Byrne and his girlfriend (later wife) Adelle Lutz who was also known as Bonnie. When the song reaches a bridge, the musicians step back and Byrne dances with the lamp, a reference to Fred Astaire's similar dance with a coat-rack in the film Royal Wedding. During the song, Weymouth is seen playing a rare Fender Swingerelectric guitar, instead of her usual bass.

The Stop Making Sense version was released as single in 1986, peaking at #100 on the UK Singles Chart.[5]

In 2014, Pitchfork ranked the song at number 22 in their list of "The 200 Best Songs of the 1980s," with Winston Cook-Wilson of the website saying: "In the process of stripping down, Talking Heads showcased something at the root of their art: David Byrne’s inimitable gift for melody, and his unique ability to make every musical figure seem both familiar and tied directly to the lyrical thought (see 'I feel numb...born with a weak heart/ I guess I must be having fun'). Is there a better moment of catharsis in a pop then the song's final eureka realization, after Byrne gets whacked with the monolithic spiritual hammer and awakes from a life-encompassing daze into unexpected stability? There’s nothing to narrow his eyes at anymore: 'Cover up the blank spots, hit me on the head/ Aaoooh, aaooh, aaooh, aaoooh.' For a band rarely given to addressing issues of the heart head-on, 'Naive Melody' remains an unexpected and peerless achievement."[6]

The name of the song serves as the title of a 2011 drama film starring Sean Penn as an aging rock star. In one scene, the main character attends a concert in which David Byrne performs the song.[7][8][9]